The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were sprayed with Action. When the grapes ripened, 400 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 400 vines sprayed with Action were checked. The results are: Insecticide Pernod 5 Action Number of Vines Checked (sample size) 400 400 At the 0.05 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action? Hint. For the calculations, assume the Pernod 5 as the first sample. Number of Infested Vines 24 40 1. State the decision rule. (Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answers to 2 decimal places.) HO is rejected ifz< F or z>

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**Instructions for Statistical Analysis**

2. **Compute the Pooled Proportion.**
   - *Note:* Do not round the intermediate values. Round your answer to two decimal places.
   - **Pooled proportion**: [Input Box]

3. **Compute the Value of the Test Statistic.**
   - *Note:* Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answer to two decimal places.
   - **Value of the test statistic**: [Input Box]

This section is designed to help students accurately compute statistical measures essential for hypothesis testing. Make sure to carefully follow the rounding guidelines for precision.
Transcribed Image Text:**Instructions for Statistical Analysis** 2. **Compute the Pooled Proportion.** - *Note:* Do not round the intermediate values. Round your answer to two decimal places. - **Pooled proportion**: [Input Box] 3. **Compute the Value of the Test Statistic.** - *Note:* Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answer to two decimal places. - **Value of the test statistic**: [Input Box] This section is designed to help students accurately compute statistical measures essential for hypothesis testing. Make sure to carefully follow the rounding guidelines for precision.
The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were sprayed with Action. When the grapes ripened, 400 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 400 vines sprayed with Action were checked. The results are:

| Insecticide | Number of Vines Checked (sample size) | Number of Infested Vines |
|-------------|---------------------------------------|---------------------------|
| Pernod 5    | 400                                   | 24                        |
| Action      | 400                                   | 40                        |

At the 0.05 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action? *Hint: For the calculations, assume the Pernod 5 as the first sample.*

1. State the decision rule. *(Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answers to 2 decimal places.)*

H0 is rejected if z < [blank] or z > [blank].
Transcribed Image Text:The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were sprayed with Action. When the grapes ripened, 400 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 400 vines sprayed with Action were checked. The results are: | Insecticide | Number of Vines Checked (sample size) | Number of Infested Vines | |-------------|---------------------------------------|---------------------------| | Pernod 5 | 400 | 24 | | Action | 400 | 40 | At the 0.05 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action? *Hint: For the calculations, assume the Pernod 5 as the first sample.* 1. State the decision rule. *(Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answers to 2 decimal places.)* H0 is rejected if z < [blank] or z > [blank].
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